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Finding the Third Proportional to 651,278 and 983,723

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Solution

The third proportional to 651,278 and 983,723 is: 1,485,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,278 : 983,723 = 983,723 : x
  2. Step 2: Convert to fraction form
    651,278/983,723 = 983,723/x
  3. Step 3: Cross multiply
    651,278x = 983,723 × 983,723
  4. Step 4: Simplify right side
    651,278x = 967,710,940,729
  5. Step 5: Solve for x
    x = 967,710,940,729/651,278
  6. Step 6: Final answer
    x = 1,485,864.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.